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\frac{5}{6}+\frac{4+1}{4}
Multiply 1 and 4 to get 4.
\frac{5}{6}+\frac{5}{4}
Add 4 and 1 to get 5.
\frac{10}{12}+\frac{15}{12}
Least common multiple of 6 and 4 is 12. Convert \frac{5}{6} and \frac{5}{4} to fractions with denominator 12.
\frac{10+15}{12}
Since \frac{10}{12} and \frac{15}{12} have the same denominator, add them by adding their numerators.
\frac{25}{12}
Add 10 and 15 to get 25.